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What are the degree and order respectively of the differential equation y=x ( d y d x )^2+ ( d x d y )^2 ?

Options

  1. A1,2
  2. B2,1
  3. C1,4
  4. D4,1

Correct answer

D. 4,1

Step-by-step solution

aligned & y=x ( d y d x )^2+ ( d x d y )^2 & =x ( d y d x )^2+ ( d y d x )⁻² & y ( d y d x )^2=x ( d y d x )^4+1 aligned So, degree =4 , order =1

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